Imaging parton evolution with Three-Point Energy Correlators in pp collisions at the LHC

High-energy collisions, such as those observed by the Compact Muon Solenoid (CMS) experiment at the Large Hadron Collider, produce showers of hard scattered quarks and gluons, known as jets. The complex structure of jets holds information on parton evolution and aids in improving our understanding of quantum chromodynamics (QCD). Three-point energy correlators (E3C) relate the energy of three particles and their spatial configuration within the jet and provide a robust method of quantifying jet substructure. Projecting E3C into the cartesian plane visualizes different triangle shapes that contribute to a jet's geometry and encourages a more intuitive understanding of how the jet evolves in vacuum and in heavy ion collisions. Preliminary results using proton-proton collision data from CMS are presented, studying projected and full E3C differentially in jet transverse momentum and jet radius. These studies help us understand QCD and also serve as a useful reference for larger systems, including proton-lead and lead-lead collisions.